Atkin-Lehner |
2- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
27380d |
Isogeny class |
Conductor |
27380 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
5131452818000 = 24 · 53 · 376 |
Discriminant |
Eigenvalues |
2- -2 5- 2 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56585,-5198600] |
[a1,a2,a3,a4,a6] |
Generators |
[-137:31:1] |
Generators of the group modulo torsion |
j |
488095744/125 |
j-invariant |
L |
4.387915796656 |
L(r)(E,1)/r! |
Ω |
0.309549608739 |
Real period |
R |
3.1500359610502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109520y3 20a4 |
Quadratic twists by: -4 37 |